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Finding the Third Proportional to 359,142.75 and 535,599.38

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Solution

The third proportional to 359,142.75 and 535,599.38 is: 798,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,142.75 : 535,599.38 = 535,599.38 : x
  2. Step 2: Convert to fraction form
    359,142.75/535,599.38 = 535,599.38/x
  3. Step 3: Cross multiply
    359,142.75x = 535,599.38 × 535,599.38
  4. Step 4: Simplify right side
    359,142.75x = 286,866,690,500.39
  5. Step 5: Solve for x
    x = 286,866,690,500.39/359,142.75
  6. Step 6: Final answer
    x = 798,753.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.